Planck Length and Cosmology

Details Planck Length and Cosmology Planck Length and Cosmology

2007-04-11

arxiv.org/abs/0704.1360v1

Mod.Phys.Lett.A22:2027-2034,2007

Astronomy and Astrophysics

Astrophysics

8 pages, to appear in the proceedings of the 2006 CosPA Symposium

Scientific paper

10.1142/S0217732307025261

We show that an unification of quantum mechanics and general relativity implies that there is a fundamental length in Nature in the sense that no operational procedure would be able to measure distances shorter than the Planck length. Furthermore we give an explicit realization of an old proposal by Anderson and Finkelstein who argued that a fundamental length in nature implies unimodular gravity. Finally, using hand waving arguments we show that a minimal length might be related to the cosmological constant which, if this scenario is realized, is time dependent.

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